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Finding the Fourth Proportional to 343,013.67, 514,245.75 and 163,008.76

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Solution

The fourth proportional to 343,013.67, 514,245.75 and 163,008.76 is: 244,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,013.67 : 514,245.75 = 163,008.76 : x
  2. Step 2: Convert to fraction form
    343,013.67/514,245.75 = 163,008.76/x
  3. Step 3: Cross multiply
    343,013.67x = 514,245.75 × 163,008.76
  4. Step 4: Simplify right side
    343,013.67x = 83,826,562,042.77
  5. Step 5: Solve for x
    x = 83,826,562,042.77/343,013.67
  6. Step 6: Final answer
    x = 244,382.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.